There are n trading posts along a river numbered 1, 2, 3, ., n. At any of the posts you can rent a canoe to be returned at any other post downstream. (It is impossible to paddle against the river, since it is too fast.) For each possible departure point i and each possible arrival point j (> i), the cost of a rental from i to j is known: it is C[i,j] > 0. However, it can happen that the cost of renting from i to j is higher than the total costs of a series of shorter rentals from i to j. In this case you can return the first canoe at some post k between i and j and continue your journey in a second (and, maybe, third, fourth.) canoe. There is no extra charge for changing canoes in this way. Give a O(n2) time dynamic programming algorithm to determine the minimum cost of a trip from trading post 1 to trading post n. ...

For tax purposes an item may be depreciated over a period of several years, n.With the straight line method of depreciation, each year the item depreciates by 1/nth of itsoriginal value. With the double declining balance method of depreciation, each year the itemdepreciates by 2/nths of its value at the beginning of that year. (In the final year it is depreciatedby its value at the beginning of the year.)Write a program using **Visual Basic** that performs the following tasks:1.1 Request a depreciation of the item, the year of purchase, the cost of the item, the number ofyears to be depreciated (estimated life), and the method of depreciation. The method ofdepreciation should be chosen by clicking on one of two buttons.1.2 Display a year by year description of the depreciation.

4.Consider F = {BC -> D, B -> E, CE -> D, E -> CA, BF -> G} and R(A,B,C,D,E,F,G) a)Find all many keys for R

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